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Finding the Third Proportional to 139,020 and 282,952

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Solution

The third proportional to 139,020 and 282,952 is: 575,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,020 : 282,952 = 282,952 : x
  2. Step 2: Convert to fraction form
    139,020/282,952 = 282,952/x
  3. Step 3: Cross multiply
    139,020x = 282,952 × 282,952
  4. Step 4: Simplify right side
    139,020x = 80,061,834,304
  5. Step 5: Solve for x
    x = 80,061,834,304/139,020
  6. Step 6: Final answer
    x = 575,901.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.