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Finding the Third Proportional to 113,587.31 and 176,369.91

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Solution

The third proportional to 113,587.31 and 176,369.91 is: 273,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,587.31 : 176,369.91 = 176,369.91 : x
  2. Step 2: Convert to fraction form
    113,587.31/176,369.91 = 176,369.91/x
  3. Step 3: Cross multiply
    113,587.31x = 176,369.91 × 176,369.91
  4. Step 4: Simplify right side
    113,587.31x = 31,106,343,830.63
  5. Step 5: Solve for x
    x = 31,106,343,830.63/113,587.31
  6. Step 6: Final answer
    x = 273,854.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.