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Finding the Third Proportional to 62,059 and 98,313

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Solution

The third proportional to 62,059 and 98,313 is: 155,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,059 : 98,313 = 98,313 : x
  2. Step 2: Convert to fraction form
    62,059/98,313 = 98,313/x
  3. Step 3: Cross multiply
    62,059x = 98,313 × 98,313
  4. Step 4: Simplify right side
    62,059x = 9,665,445,969
  5. Step 5: Solve for x
    x = 9,665,445,969/62,059
  6. Step 6: Final answer
    x = 155,746.08

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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.