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Finding the Third Proportional to 124,619.63 and 182,764.13

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Solution

The third proportional to 124,619.63 and 182,764.13 is: 268,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,619.63 : 182,764.13 = 182,764.13 : x
  2. Step 2: Convert to fraction form
    124,619.63/182,764.13 = 182,764.13/x
  3. Step 3: Cross multiply
    124,619.63x = 182,764.13 × 182,764.13
  4. Step 4: Simplify right side
    124,619.63x = 33,402,725,387.02
  5. Step 5: Solve for x
    x = 33,402,725,387.02/124,619.63
  6. Step 6: Final answer
    x = 268,037.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.