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Finding the Third Proportional to 71,276 and 153,854

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Solution

The third proportional to 71,276 and 153,854 is: 332,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,276 : 153,854 = 153,854 : x
  2. Step 2: Convert to fraction form
    71,276/153,854 = 153,854/x
  3. Step 3: Cross multiply
    71,276x = 153,854 × 153,854
  4. Step 4: Simplify right side
    71,276x = 23,671,053,316
  5. Step 5: Solve for x
    x = 23,671,053,316/71,276
  6. Step 6: Final answer
    x = 332,104.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.