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Finding the Third Proportional to 78,190.17 and 129,416.77

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Solution

The third proportional to 78,190.17 and 129,416.77 is: 214,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,190.17 : 129,416.77 = 129,416.77 : x
  2. Step 2: Convert to fraction form
    78,190.17/129,416.77 = 129,416.77/x
  3. Step 3: Cross multiply
    78,190.17x = 129,416.77 × 129,416.77
  4. Step 4: Simplify right side
    78,190.17x = 16,748,699,224.84
  5. Step 5: Solve for x
    x = 16,748,699,224.84/78,190.17
  6. Step 6: Final answer
    x = 214,204.66

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.