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Finding the Third Proportional to 61,334 and 93,784

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Solution

The third proportional to 61,334 and 93,784 is: 143,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,334 : 93,784 = 93,784 : x
  2. Step 2: Convert to fraction form
    61,334/93,784 = 93,784/x
  3. Step 3: Cross multiply
    61,334x = 93,784 × 93,784
  4. Step 4: Simplify right side
    61,334x = 8,795,438,656
  5. Step 5: Solve for x
    x = 8,795,438,656/61,334
  6. Step 6: Final answer
    x = 143,402.33

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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.