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Finding the Third Proportional to 60,734 and 97,030

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Solution

The third proportional to 60,734 and 97,030 is: 155,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,734 : 97,030 = 97,030 : x
  2. Step 2: Convert to fraction form
    60,734/97,030 = 97,030/x
  3. Step 3: Cross multiply
    60,734x = 97,030 × 97,030
  4. Step 4: Simplify right side
    60,734x = 9,414,820,900
  5. Step 5: Solve for x
    x = 9,414,820,900/60,734
  6. Step 6: Final answer
    x = 155,017.30

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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.