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Finding the Third Proportional to 65,862 and 99,373.50

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Solution

The third proportional to 65,862 and 99,373.50 is: 149,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862 : 99,373.50 = 99,373.50 : x
  2. Step 2: Convert to fraction form
    65,862/99,373.50 = 99,373.50/x
  3. Step 3: Cross multiply
    65,862x = 99,373.50 × 99,373.50
  4. Step 4: Simplify right side
    65,862x = 9,875,092,502.25
  5. Step 5: Solve for x
    x = 9,875,092,502.25/65,862
  6. Step 6: Final answer
    x = 149,936.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.