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Finding the Third Proportional to 71,946 and 157,011

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Solution

The third proportional to 71,946 and 157,011 is: 342,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946 : 157,011 = 157,011 : x
  2. Step 2: Convert to fraction form
    71,946/157,011 = 157,011/x
  3. Step 3: Cross multiply
    71,946x = 157,011 × 157,011
  4. Step 4: Simplify right side
    71,946x = 24,652,454,121
  5. Step 5: Solve for x
    x = 24,652,454,121/71,946
  6. Step 6: Final answer
    x = 342,652.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.