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Finding the Third Proportional to 97,220 and 150,139

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Solution

The third proportional to 97,220 and 150,139 is: 231,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,220 : 150,139 = 150,139 : x
  2. Step 2: Convert to fraction form
    97,220/150,139 = 150,139/x
  3. Step 3: Cross multiply
    97,220x = 150,139 × 150,139
  4. Step 4: Simplify right side
    97,220x = 22,541,719,321
  5. Step 5: Solve for x
    x = 22,541,719,321/97,220
  6. Step 6: Final answer
    x = 231,862.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.