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Finding the Third Proportional to 61,348 and 93,114

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Solution

The third proportional to 61,348 and 93,114 is: 141,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,348 : 93,114 = 93,114 : x
  2. Step 2: Convert to fraction form
    61,348/93,114 = 93,114/x
  3. Step 3: Cross multiply
    61,348x = 93,114 × 93,114
  4. Step 4: Simplify right side
    61,348x = 8,670,216,996
  5. Step 5: Solve for x
    x = 8,670,216,996/61,348
  6. Step 6: Final answer
    x = 141,328.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.