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Finding the Third Proportional to 58,722 and 83,708

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Solution

The third proportional to 58,722 and 83,708 is: 119,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,722 : 83,708 = 83,708 : x
  2. Step 2: Convert to fraction form
    58,722/83,708 = 83,708/x
  3. Step 3: Cross multiply
    58,722x = 83,708 × 83,708
  4. Step 4: Simplify right side
    58,722x = 7,007,029,264
  5. Step 5: Solve for x
    x = 7,007,029,264/58,722
  6. Step 6: Final answer
    x = 119,325.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.