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Finding the Third Proportional to 118,209 and 181,687.50

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Solution

The third proportional to 118,209 and 181,687.50 is: 279,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,209 : 181,687.50 = 181,687.50 : x
  2. Step 2: Convert to fraction form
    118,209/181,687.50 = 181,687.50/x
  3. Step 3: Cross multiply
    118,209x = 181,687.50 × 181,687.50
  4. Step 4: Simplify right side
    118,209x = 33,010,347,656.25
  5. Step 5: Solve for x
    x = 33,010,347,656.25/118,209
  6. Step 6: Final answer
    x = 279,254.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.