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Finding the Third Proportional to 79,296 and 112,748

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Solution

The third proportional to 79,296 and 112,748 is: 160,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296 : 112,748 = 112,748 : x
  2. Step 2: Convert to fraction form
    79,296/112,748 = 112,748/x
  3. Step 3: Cross multiply
    79,296x = 112,748 × 112,748
  4. Step 4: Simplify right side
    79,296x = 12,712,111,504
  5. Step 5: Solve for x
    x = 12,712,111,504/79,296
  6. Step 6: Final answer
    x = 160,312.14

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.