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Finding the Third Proportional to 47,090 and 70,737

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Solution

The third proportional to 47,090 and 70,737 is: 106,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,090 : 70,737 = 70,737 : x
  2. Step 2: Convert to fraction form
    47,090/70,737 = 70,737/x
  3. Step 3: Cross multiply
    47,090x = 70,737 × 70,737
  4. Step 4: Simplify right side
    47,090x = 5,003,723,169
  5. Step 5: Solve for x
    x = 5,003,723,169/47,090
  6. Step 6: Final answer
    x = 106,258.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.