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Finding the Third Proportional to 58,360 and 84,988

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Solution

The third proportional to 58,360 and 84,988 is: 123,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,360 : 84,988 = 84,988 : x
  2. Step 2: Convert to fraction form
    58,360/84,988 = 84,988/x
  3. Step 3: Cross multiply
    58,360x = 84,988 × 84,988
  4. Step 4: Simplify right side
    58,360x = 7,222,960,144
  5. Step 5: Solve for x
    x = 7,222,960,144/58,360
  6. Step 6: Final answer
    x = 123,765.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.