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Finding the Third Proportional to 78,520 and 121,308

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Solution

The third proportional to 78,520 and 121,308 is: 187,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,520 : 121,308 = 121,308 : x
  2. Step 2: Convert to fraction form
    78,520/121,308 = 121,308/x
  3. Step 3: Cross multiply
    78,520x = 121,308 × 121,308
  4. Step 4: Simplify right side
    78,520x = 14,715,630,864
  5. Step 5: Solve for x
    x = 14,715,630,864/78,520
  6. Step 6: Final answer
    x = 187,412.52

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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.