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Finding the Third Proportional to 97,210 and 124,217

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Solution

The third proportional to 97,210 and 124,217 is: 158,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,210 : 124,217 = 124,217 : x
  2. Step 2: Convert to fraction form
    97,210/124,217 = 124,217/x
  3. Step 3: Cross multiply
    97,210x = 124,217 × 124,217
  4. Step 4: Simplify right side
    97,210x = 15,429,863,089
  5. Step 5: Solve for x
    x = 15,429,863,089/97,210
  6. Step 6: Final answer
    x = 158,727.12

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.