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Finding the Third Proportional to 97,295 and 145,339

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Solution

The third proportional to 97,295 and 145,339 is: 217,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,295 : 145,339 = 145,339 : x
  2. Step 2: Convert to fraction form
    97,295/145,339 = 145,339/x
  3. Step 3: Cross multiply
    97,295x = 145,339 × 145,339
  4. Step 4: Simplify right side
    97,295x = 21,123,424,921
  5. Step 5: Solve for x
    x = 21,123,424,921/97,295
  6. Step 6: Final answer
    x = 217,106.99

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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.