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Finding the Third Proportional to 124,886.81 and 190,438.59

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Solution

The third proportional to 124,886.81 and 190,438.59 is: 290,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,886.81 : 190,438.59 = 190,438.59 : x
  2. Step 2: Convert to fraction form
    124,886.81/190,438.59 = 190,438.59/x
  3. Step 3: Cross multiply
    124,886.81x = 190,438.59 × 190,438.59
  4. Step 4: Simplify right side
    124,886.81x = 36,266,857,989.48
  5. Step 5: Solve for x
    x = 36,266,857,989.48/124,886.81
  6. Step 6: Final answer
    x = 290,397.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.