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Finding the Third Proportional to 124,314.50 and 272,140

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Solution

The third proportional to 124,314.50 and 272,140 is: 595,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,314.50 : 272,140 = 272,140 : x
  2. Step 2: Convert to fraction form
    124,314.50/272,140 = 272,140/x
  3. Step 3: Cross multiply
    124,314.50x = 272,140 × 272,140
  4. Step 4: Simplify right side
    124,314.50x = 74,060,179,600
  5. Step 5: Solve for x
    x = 74,060,179,600/124,314.50
  6. Step 6: Final answer
    x = 595,748.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.