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Finding the Third Proportional to 61,603 and 93,275

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Solution

The third proportional to 61,603 and 93,275 is: 141,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603 : 93,275 = 93,275 : x
  2. Step 2: Convert to fraction form
    61,603/93,275 = 93,275/x
  3. Step 3: Cross multiply
    61,603x = 93,275 × 93,275
  4. Step 4: Simplify right side
    61,603x = 8,700,225,625
  5. Step 5: Solve for x
    x = 8,700,225,625/61,603
  6. Step 6: Final answer
    x = 141,230.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.