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Finding the Third Proportional to 71,870.63 and 112,514.06

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Solution

The third proportional to 71,870.63 and 112,514.06 is: 176,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,870.63 : 112,514.06 = 112,514.06 : x
  2. Step 2: Convert to fraction form
    71,870.63/112,514.06 = 112,514.06/x
  3. Step 3: Cross multiply
    71,870.63x = 112,514.06 × 112,514.06
  4. Step 4: Simplify right side
    71,870.63x = 12,659,414,260.25
  5. Step 5: Solve for x
    x = 12,659,414,260.25/71,870.63
  6. Step 6: Final answer
    x = 176,141.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.