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Finding the Third Proportional to 97,359 and 142,209

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Solution

The third proportional to 97,359 and 142,209 is: 207,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,359 : 142,209 = 142,209 : x
  2. Step 2: Convert to fraction form
    97,359/142,209 = 142,209/x
  3. Step 3: Cross multiply
    97,359x = 142,209 × 142,209
  4. Step 4: Simplify right side
    97,359x = 20,223,399,681
  5. Step 5: Solve for x
    x = 20,223,399,681/97,359
  6. Step 6: Final answer
    x = 207,719.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.