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Finding the Third Proportional to 114,024 and 176,572

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Solution

The third proportional to 114,024 and 176,572 is: 273,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024 : 176,572 = 176,572 : x
  2. Step 2: Convert to fraction form
    114,024/176,572 = 176,572/x
  3. Step 3: Cross multiply
    114,024x = 176,572 × 176,572
  4. Step 4: Simplify right side
    114,024x = 31,177,671,184
  5. Step 5: Solve for x
    x = 31,177,671,184/114,024
  6. Step 6: Final answer
    x = 273,430.78

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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.