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Finding the Third Proportional to 117,046.13 and 176,602.50

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Solution

The third proportional to 117,046.13 and 176,602.50 is: 266,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,046.13 : 176,602.50 = 176,602.50 : x
  2. Step 2: Convert to fraction form
    117,046.13/176,602.50 = 176,602.50/x
  3. Step 3: Cross multiply
    117,046.13x = 176,602.50 × 176,602.50
  4. Step 4: Simplify right side
    117,046.13x = 31,188,443,006.25
  5. Step 5: Solve for x
    x = 31,188,443,006.25/117,046.13
  6. Step 6: Final answer
    x = 266,462.84

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