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Finding the Third Proportional to 52,580 and 83,248

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Solution

The third proportional to 52,580 and 83,248 is: 131,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,580 : 83,248 = 83,248 : x
  2. Step 2: Convert to fraction form
    52,580/83,248 = 83,248/x
  3. Step 3: Cross multiply
    52,580x = 83,248 × 83,248
  4. Step 4: Simplify right side
    52,580x = 6,930,229,504
  5. Step 5: Solve for x
    x = 6,930,229,504/52,580
  6. Step 6: Final answer
    x = 131,803.53

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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.