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Finding the Third Proportional to 61,156 and 93,558

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Solution

The third proportional to 61,156 and 93,558 is: 143,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,156 : 93,558 = 93,558 : x
  2. Step 2: Convert to fraction form
    61,156/93,558 = 93,558/x
  3. Step 3: Cross multiply
    61,156x = 93,558 × 93,558
  4. Step 4: Simplify right side
    61,156x = 8,753,099,364
  5. Step 5: Solve for x
    x = 8,753,099,364/61,156
  6. Step 6: Final answer
    x = 143,127.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.