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Finding the Third Proportional to 62,058 and 98,311.50

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Solution

The third proportional to 62,058 and 98,311.50 is: 155,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,058 : 98,311.50 = 98,311.50 : x
  2. Step 2: Convert to fraction form
    62,058/98,311.50 = 98,311.50/x
  3. Step 3: Cross multiply
    62,058x = 98,311.50 × 98,311.50
  4. Step 4: Simplify right side
    62,058x = 9,665,151,032.25
  5. Step 5: Solve for x
    x = 9,665,151,032.25/62,058
  6. Step 6: Final answer
    x = 155,743.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.