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Finding the Third Proportional to 52,036.17 and 112,357.13

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Solution

The third proportional to 52,036.17 and 112,357.13 is: 242,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036.17 : 112,357.13 = 112,357.13 : x
  2. Step 2: Convert to fraction form
    52,036.17/112,357.13 = 112,357.13/x
  3. Step 3: Cross multiply
    52,036.17x = 112,357.13 × 112,357.13
  4. Step 4: Simplify right side
    52,036.17x = 12,624,123,538.27
  5. Step 5: Solve for x
    x = 12,624,123,538.27/52,036.17
  6. Step 6: Final answer
    x = 242,602.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.