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Finding the Third Proportional to 92,648 and 153,341

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Solution

The third proportional to 92,648 and 153,341 is: 253,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,648 : 153,341 = 153,341 : x
  2. Step 2: Convert to fraction form
    92,648/153,341 = 153,341/x
  3. Step 3: Cross multiply
    92,648x = 153,341 × 153,341
  4. Step 4: Simplify right side
    92,648x = 23,513,462,281
  5. Step 5: Solve for x
    x = 23,513,462,281/92,648
  6. Step 6: Final answer
    x = 253,793.52

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.