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Finding the Third Proportional to 127,250 and 186,495

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Solution

The third proportional to 127,250 and 186,495 is: 273,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,250 : 186,495 = 186,495 : x
  2. Step 2: Convert to fraction form
    127,250/186,495 = 186,495/x
  3. Step 3: Cross multiply
    127,250x = 186,495 × 186,495
  4. Step 4: Simplify right side
    127,250x = 34,780,385,025
  5. Step 5: Solve for x
    x = 34,780,385,025/127,250
  6. Step 6: Final answer
    x = 273,323.26

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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.