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Finding the Third Proportional to 114,602 and 177,087

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Solution

The third proportional to 114,602 and 177,087 is: 273,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,602 : 177,087 = 177,087 : x
  2. Step 2: Convert to fraction form
    114,602/177,087 = 177,087/x
  3. Step 3: Cross multiply
    114,602x = 177,087 × 177,087
  4. Step 4: Simplify right side
    114,602x = 31,359,805,569
  5. Step 5: Solve for x
    x = 31,359,805,569/114,602
  6. Step 6: Final answer
    x = 273,641.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.