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Finding the Third Proportional to 125,934 and 272,167.50

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Solution

The third proportional to 125,934 and 272,167.50 is: 588,206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,934 : 272,167.50 = 272,167.50 : x
  2. Step 2: Convert to fraction form
    125,934/272,167.50 = 272,167.50/x
  3. Step 3: Cross multiply
    125,934x = 272,167.50 × 272,167.50
  4. Step 4: Simplify right side
    125,934x = 74,075,148,056.25
  5. Step 5: Solve for x
    x = 74,075,148,056.25/125,934
  6. Step 6: Final answer
    x = 588,206.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.