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Finding the Third Proportional to 71,009.16 and 110,785.22

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Solution

The third proportional to 71,009.16 and 110,785.22 is: 172,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,009.16 : 110,785.22 = 110,785.22 : x
  2. Step 2: Convert to fraction form
    71,009.16/110,785.22 = 110,785.22/x
  3. Step 3: Cross multiply
    71,009.16x = 110,785.22 × 110,785.22
  4. Step 4: Simplify right side
    71,009.16x = 12,273,364,693.49
  5. Step 5: Solve for x
    x = 12,273,364,693.49/71,009.16
  6. Step 6: Final answer
    x = 172,842.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.