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Finding the Third Proportional to 114,862 and 176,506

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Solution

The third proportional to 114,862 and 176,506 is: 271,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,862 : 176,506 = 176,506 : x
  2. Step 2: Convert to fraction form
    114,862/176,506 = 176,506/x
  3. Step 3: Cross multiply
    114,862x = 176,506 × 176,506
  4. Step 4: Simplify right side
    114,862x = 31,154,368,036
  5. Step 5: Solve for x
    x = 31,154,368,036/114,862
  6. Step 6: Final answer
    x = 271,233.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.