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Finding the Third Proportional to 124,671 and 272,710.50

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Solution

The third proportional to 124,671 and 272,710.50 is: 596,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,671 : 272,710.50 = 272,710.50 : x
  2. Step 2: Convert to fraction form
    124,671/272,710.50 = 272,710.50/x
  3. Step 3: Cross multiply
    124,671x = 272,710.50 × 272,710.50
  4. Step 4: Simplify right side
    124,671x = 74,371,016,810.25
  5. Step 5: Solve for x
    x = 74,371,016,810.25/124,671
  6. Step 6: Final answer
    x = 596,538.22

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