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Finding the Third Proportional to 79,038 and 118,560

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Solution

The third proportional to 79,038 and 118,560 is: 177,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,038 : 118,560 = 118,560 : x
  2. Step 2: Convert to fraction form
    79,038/118,560 = 118,560/x
  3. Step 3: Cross multiply
    79,038x = 118,560 × 118,560
  4. Step 4: Simplify right side
    79,038x = 14,056,473,600
  5. Step 5: Solve for x
    x = 14,056,473,600/79,038
  6. Step 6: Final answer
    x = 177,844.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.