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Finding the Third Proportional to 60,943.50 and 97,319.25

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Solution

The third proportional to 60,943.50 and 97,319.25 is: 155,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,943.50 : 97,319.25 = 97,319.25 : x
  2. Step 2: Convert to fraction form
    60,943.50/97,319.25 = 97,319.25/x
  3. Step 3: Cross multiply
    60,943.50x = 97,319.25 × 97,319.25
  4. Step 4: Simplify right side
    60,943.50x = 9,471,036,420.56
  5. Step 5: Solve for x
    x = 9,471,036,420.56/60,943.50
  6. Step 6: Final answer
    x = 155,406.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.