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Finding the Third Proportional to 75,543 and 158,860.50

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Solution

The third proportional to 75,543 and 158,860.50 is: 334,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,543 : 158,860.50 = 158,860.50 : x
  2. Step 2: Convert to fraction form
    75,543/158,860.50 = 158,860.50/x
  3. Step 3: Cross multiply
    75,543x = 158,860.50 × 158,860.50
  4. Step 4: Simplify right side
    75,543x = 25,236,658,460.25
  5. Step 5: Solve for x
    x = 25,236,658,460.25/75,543
  6. Step 6: Final answer
    x = 334,070.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.