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Finding the Third Proportional to 53,478 and 61,254

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Solution

The third proportional to 53,478 and 61,254 is: 70,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,478 : 61,254 = 61,254 : x
  2. Step 2: Convert to fraction form
    53,478/61,254 = 61,254/x
  3. Step 3: Cross multiply
    53,478x = 61,254 × 61,254
  4. Step 4: Simplify right side
    53,478x = 3,752,052,516
  5. Step 5: Solve for x
    x = 3,752,052,516/53,478
  6. Step 6: Final answer
    x = 70,160.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.