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Finding the Third Proportional to 127,148.06 and 186,159.94

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Solution

The third proportional to 127,148.06 and 186,159.94 is: 272,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,148.06 : 186,159.94 = 186,159.94 : x
  2. Step 2: Convert to fraction form
    127,148.06/186,159.94 = 186,159.94/x
  3. Step 3: Cross multiply
    127,148.06x = 186,159.94 × 186,159.94
  4. Step 4: Simplify right side
    127,148.06x = 34,655,522,330.00
  5. Step 5: Solve for x
    x = 34,655,522,330.00/127,148.06
  6. Step 6: Final answer
    x = 272,560.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.