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Finding the Third Proportional to 60,965 and 97,350

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Solution

The third proportional to 60,965 and 97,350 is: 155,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,965 : 97,350 = 97,350 : x
  2. Step 2: Convert to fraction form
    60,965/97,350 = 97,350/x
  3. Step 3: Cross multiply
    60,965x = 97,350 × 97,350
  4. Step 4: Simplify right side
    60,965x = 9,477,022,500
  5. Step 5: Solve for x
    x = 9,477,022,500/60,965
  6. Step 6: Final answer
    x = 155,450.22

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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.