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Finding the Third Proportional to 117,029 and 176,579

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Solution

The third proportional to 117,029 and 176,579 is: 266,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,029 : 176,579 = 176,579 : x
  2. Step 2: Convert to fraction form
    117,029/176,579 = 176,579/x
  3. Step 3: Cross multiply
    117,029x = 176,579 × 176,579
  4. Step 4: Simplify right side
    117,029x = 31,180,143,241
  5. Step 5: Solve for x
    x = 31,180,143,241/117,029
  6. Step 6: Final answer
    x = 266,430.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.