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Finding the Third Proportional to 113,870.81 and 167,113.13

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Solution

The third proportional to 113,870.81 and 167,113.13 is: 245,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,870.81 : 167,113.13 = 167,113.13 : x
  2. Step 2: Convert to fraction form
    113,870.81/167,113.13 = 167,113.13/x
  3. Step 3: Cross multiply
    113,870.81x = 167,113.13 × 167,113.13
  4. Step 4: Simplify right side
    113,870.81x = 27,926,796,547.27
  5. Step 5: Solve for x
    x = 27,926,796,547.27/113,870.81
  6. Step 6: Final answer
    x = 245,249.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.