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Finding the Third Proportional to 47,358 and 101,020.50

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Solution

The third proportional to 47,358 and 101,020.50 is: 215,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 101,020.50 = 101,020.50 : x
  2. Step 2: Convert to fraction form
    47,358/101,020.50 = 101,020.50/x
  3. Step 3: Cross multiply
    47,358x = 101,020.50 × 101,020.50
  4. Step 4: Simplify right side
    47,358x = 10,205,141,420.25
  5. Step 5: Solve for x
    x = 10,205,141,420.25/47,358
  6. Step 6: Final answer
    x = 215,489.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.