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Finding the Third Proportional to 65,407 and 97,850

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Solution

The third proportional to 65,407 and 97,850 is: 146,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,407 : 97,850 = 97,850 : x
  2. Step 2: Convert to fraction form
    65,407/97,850 = 97,850/x
  3. Step 3: Cross multiply
    65,407x = 97,850 × 97,850
  4. Step 4: Simplify right side
    65,407x = 9,574,622,500
  5. Step 5: Solve for x
    x = 9,574,622,500/65,407
  6. Step 6: Final answer
    x = 146,385.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.