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Finding the Third Proportional to 64,916.42 and 97,115.13

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Solution

The third proportional to 64,916.42 and 97,115.13 is: 145,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,916.42 : 97,115.13 = 97,115.13 : x
  2. Step 2: Convert to fraction form
    64,916.42/97,115.13 = 97,115.13/x
  3. Step 3: Cross multiply
    64,916.42x = 97,115.13 × 97,115.13
  4. Step 4: Simplify right side
    64,916.42x = 9,431,349,234.58
  5. Step 5: Solve for x
    x = 9,431,349,234.58/64,916.42
  6. Step 6: Final answer
    x = 145,284.50

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Why These Related Problems?

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