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Finding the Third Proportional to 116,127 and 169,709

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Solution

The third proportional to 116,127 and 169,709 is: 248,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,127 : 169,709 = 169,709 : x
  2. Step 2: Convert to fraction form
    116,127/169,709 = 169,709/x
  3. Step 3: Cross multiply
    116,127x = 169,709 × 169,709
  4. Step 4: Simplify right side
    116,127x = 28,801,144,681
  5. Step 5: Solve for x
    x = 28,801,144,681/116,127
  6. Step 6: Final answer
    x = 248,014.20

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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.