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Finding the Third Proportional to 97,524 and 145,646

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Solution

The third proportional to 97,524 and 145,646 is: 217,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,524 : 145,646 = 145,646 : x
  2. Step 2: Convert to fraction form
    97,524/145,646 = 145,646/x
  3. Step 3: Cross multiply
    97,524x = 145,646 × 145,646
  4. Step 4: Simplify right side
    97,524x = 21,212,757,316
  5. Step 5: Solve for x
    x = 21,212,757,316/97,524
  6. Step 6: Final answer
    x = 217,513.20

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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.