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Finding the Third Proportional to 127,070 and 186,909

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Solution

The third proportional to 127,070 and 186,909 is: 274,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,070 : 186,909 = 186,909 : x
  2. Step 2: Convert to fraction form
    127,070/186,909 = 186,909/x
  3. Step 3: Cross multiply
    127,070x = 186,909 × 186,909
  4. Step 4: Simplify right side
    127,070x = 34,934,974,281
  5. Step 5: Solve for x
    x = 34,934,974,281/127,070
  6. Step 6: Final answer
    x = 274,927.00

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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.