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Finding the Third Proportional to 79,152 and 121,648

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Solution

The third proportional to 79,152 and 121,648 is: 186,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,152 : 121,648 = 121,648 : x
  2. Step 2: Convert to fraction form
    79,152/121,648 = 121,648/x
  3. Step 3: Cross multiply
    79,152x = 121,648 × 121,648
  4. Step 4: Simplify right side
    79,152x = 14,798,235,904
  5. Step 5: Solve for x
    x = 14,798,235,904/79,152
  6. Step 6: Final answer
    x = 186,959.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.