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Finding the Third Proportional to 110,909.25 and 172,054.13

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Solution

The third proportional to 110,909.25 and 172,054.13 is: 266,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,909.25 : 172,054.13 = 172,054.13 : x
  2. Step 2: Convert to fraction form
    110,909.25/172,054.13 = 172,054.13/x
  3. Step 3: Cross multiply
    110,909.25x = 172,054.13 × 172,054.13
  4. Step 4: Simplify right side
    110,909.25x = 29,602,621,929.52
  5. Step 5: Solve for x
    x = 29,602,621,929.52/110,909.25
  6. Step 6: Final answer
    x = 266,908.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.