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Finding the Third Proportional to 121,827.16 and 187,498.23

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Solution

The third proportional to 121,827.16 and 187,498.23 is: 288,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,827.16 : 187,498.23 = 187,498.23 : x
  2. Step 2: Convert to fraction form
    121,827.16/187,498.23 = 187,498.23/x
  3. Step 3: Cross multiply
    121,827.16x = 187,498.23 × 187,498.23
  4. Step 4: Simplify right side
    121,827.16x = 35,155,586,428.91
  5. Step 5: Solve for x
    x = 35,155,586,428.91/121,827.16
  6. Step 6: Final answer
    x = 288,569.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.