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Finding the Third Proportional to 97,594 and 145,578

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Solution

The third proportional to 97,594 and 145,578 is: 217,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,594 : 145,578 = 145,578 : x
  2. Step 2: Convert to fraction form
    97,594/145,578 = 145,578/x
  3. Step 3: Cross multiply
    97,594x = 145,578 × 145,578
  4. Step 4: Simplify right side
    97,594x = 21,192,954,084
  5. Step 5: Solve for x
    x = 21,192,954,084/97,594
  6. Step 6: Final answer
    x = 217,154.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.