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Finding the Third Proportional to 63,506 and 142,048

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Solution

The third proportional to 63,506 and 142,048 is: 317,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 142,048 = 142,048 : x
  2. Step 2: Convert to fraction form
    63,506/142,048 = 142,048/x
  3. Step 3: Cross multiply
    63,506x = 142,048 × 142,048
  4. Step 4: Simplify right side
    63,506x = 20,177,634,304
  5. Step 5: Solve for x
    x = 20,177,634,304/63,506
  6. Step 6: Final answer
    x = 317,728.00

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.