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Finding the Third Proportional to 112,538.53 and 265,658.06

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Solution

The third proportional to 112,538.53 and 265,658.06 is: 627,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,538.53 : 265,658.06 = 265,658.06 : x
  2. Step 2: Convert to fraction form
    112,538.53/265,658.06 = 265,658.06/x
  3. Step 3: Cross multiply
    112,538.53x = 265,658.06 × 265,658.06
  4. Step 4: Simplify right side
    112,538.53x = 70,574,206,171.25
  5. Step 5: Solve for x
    x = 70,574,206,171.25/112,538.53
  6. Step 6: Final answer
    x = 627,111.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.