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Finding the Third Proportional to 101,612 and 137,070

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Solution

The third proportional to 101,612 and 137,070 is: 184,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,612 : 137,070 = 137,070 : x
  2. Step 2: Convert to fraction form
    101,612/137,070 = 137,070/x
  3. Step 3: Cross multiply
    101,612x = 137,070 × 137,070
  4. Step 4: Simplify right side
    101,612x = 18,788,184,900
  5. Step 5: Solve for x
    x = 18,788,184,900/101,612
  6. Step 6: Final answer
    x = 184,901.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.