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Finding the Third Proportional to 74,548 and 112,342

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Solution

The third proportional to 74,548 and 112,342 is: 169,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,548 : 112,342 = 112,342 : x
  2. Step 2: Convert to fraction form
    74,548/112,342 = 112,342/x
  3. Step 3: Cross multiply
    74,548x = 112,342 × 112,342
  4. Step 4: Simplify right side
    74,548x = 12,620,724,964
  5. Step 5: Solve for x
    x = 12,620,724,964/74,548
  6. Step 6: Final answer
    x = 169,296.63

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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.