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Finding the Third Proportional to 107,480 and 169,464

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Solution

The third proportional to 107,480 and 169,464 is: 267,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,480 : 169,464 = 169,464 : x
  2. Step 2: Convert to fraction form
    107,480/169,464 = 169,464/x
  3. Step 3: Cross multiply
    107,480x = 169,464 × 169,464
  4. Step 4: Simplify right side
    107,480x = 28,718,047,296
  5. Step 5: Solve for x
    x = 28,718,047,296/107,480
  6. Step 6: Final answer
    x = 267,194.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.