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Finding the Third Proportional to 59,894 and 127,090

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Solution

The third proportional to 59,894 and 127,090 is: 269,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,894 : 127,090 = 127,090 : x
  2. Step 2: Convert to fraction form
    59,894/127,090 = 127,090/x
  3. Step 3: Cross multiply
    59,894x = 127,090 × 127,090
  4. Step 4: Simplify right side
    59,894x = 16,151,868,100
  5. Step 5: Solve for x
    x = 16,151,868,100/59,894
  6. Step 6: Final answer
    x = 269,674.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.