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Finding the Third Proportional to 92,566.13 and 139,991.63

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Solution

The third proportional to 92,566.13 and 139,991.63 is: 211,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,566.13 : 139,991.63 = 139,991.63 : x
  2. Step 2: Convert to fraction form
    92,566.13/139,991.63 = 139,991.63/x
  3. Step 3: Cross multiply
    92,566.13x = 139,991.63 × 139,991.63
  4. Step 4: Simplify right side
    92,566.13x = 19,597,655,070.14
  5. Step 5: Solve for x
    x = 19,597,655,070.14/92,566.13
  6. Step 6: Final answer
    x = 211,715.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.