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Finding the Third Proportional to 71,721 and 148,603.50

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Solution

The third proportional to 71,721 and 148,603.50 is: 307,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,721 : 148,603.50 = 148,603.50 : x
  2. Step 2: Convert to fraction form
    71,721/148,603.50 = 148,603.50/x
  3. Step 3: Cross multiply
    71,721x = 148,603.50 × 148,603.50
  4. Step 4: Simplify right side
    71,721x = 22,083,000,212.25
  5. Step 5: Solve for x
    x = 22,083,000,212.25/71,721
  6. Step 6: Final answer
    x = 307,901.45

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.