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Finding the Third Proportional to 113,360 and 169,447.75

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Solution

The third proportional to 113,360 and 169,447.75 is: 253,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,360 : 169,447.75 = 169,447.75 : x
  2. Step 2: Convert to fraction form
    113,360/169,447.75 = 169,447.75/x
  3. Step 3: Cross multiply
    113,360x = 169,447.75 × 169,447.75
  4. Step 4: Simplify right side
    113,360x = 28,712,539,980.06
  5. Step 5: Solve for x
    x = 28,712,539,980.06/113,360
  6. Step 6: Final answer
    x = 253,286.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.