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Finding the Third Proportional to 127,053 and 186,691.50

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Solution

The third proportional to 127,053 and 186,691.50 is: 274,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,053 : 186,691.50 = 186,691.50 : x
  2. Step 2: Convert to fraction form
    127,053/186,691.50 = 186,691.50/x
  3. Step 3: Cross multiply
    127,053x = 186,691.50 × 186,691.50
  4. Step 4: Simplify right side
    127,053x = 34,853,716,172.25
  5. Step 5: Solve for x
    x = 34,853,716,172.25/127,053
  6. Step 6: Final answer
    x = 274,324.23

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