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Finding the Third Proportional to 64,691 and 96,637.50

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Solution

The third proportional to 64,691 and 96,637.50 is: 144,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,691 : 96,637.50 = 96,637.50 : x
  2. Step 2: Convert to fraction form
    64,691/96,637.50 = 96,637.50/x
  3. Step 3: Cross multiply
    64,691x = 96,637.50 × 96,637.50
  4. Step 4: Simplify right side
    64,691x = 9,338,806,406.25
  5. Step 5: Solve for x
    x = 9,338,806,406.25/64,691
  6. Step 6: Final answer
    x = 144,360.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.