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Finding the Third Proportional to 63,029 and 97,583

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Solution

The third proportional to 63,029 and 97,583 is: 151,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,029 : 97,583 = 97,583 : x
  2. Step 2: Convert to fraction form
    63,029/97,583 = 97,583/x
  3. Step 3: Cross multiply
    63,029x = 97,583 × 97,583
  4. Step 4: Simplify right side
    63,029x = 9,522,441,889
  5. Step 5: Solve for x
    x = 9,522,441,889/63,029
  6. Step 6: Final answer
    x = 151,080.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.