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Finding the Third Proportional to 40,748 and 88,360

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Solution

The third proportional to 40,748 and 88,360 is: 191,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,748 : 88,360 = 88,360 : x
  2. Step 2: Convert to fraction form
    40,748/88,360 = 88,360/x
  3. Step 3: Cross multiply
    40,748x = 88,360 × 88,360
  4. Step 4: Simplify right side
    40,748x = 7,807,489,600
  5. Step 5: Solve for x
    x = 7,807,489,600/40,748
  6. Step 6: Final answer
    x = 191,604.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.