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Finding the Third Proportional to 81,701 and 112,507

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Solution

The third proportional to 81,701 and 112,507 is: 154,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,701 : 112,507 = 112,507 : x
  2. Step 2: Convert to fraction form
    81,701/112,507 = 112,507/x
  3. Step 3: Cross multiply
    81,701x = 112,507 × 112,507
  4. Step 4: Simplify right side
    81,701x = 12,657,825,049
  5. Step 5: Solve for x
    x = 12,657,825,049/81,701
  6. Step 6: Final answer
    x = 154,928.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.