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Finding the Third Proportional to 78,526 and 121,317

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Solution

The third proportional to 78,526 and 121,317 is: 187,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,526 : 121,317 = 121,317 : x
  2. Step 2: Convert to fraction form
    78,526/121,317 = 121,317/x
  3. Step 3: Cross multiply
    78,526x = 121,317 × 121,317
  4. Step 4: Simplify right side
    78,526x = 14,717,814,489
  5. Step 5: Solve for x
    x = 14,717,814,489/78,526
  6. Step 6: Final answer
    x = 187,426.01

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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.