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Finding the Third Proportional to 112,726 and 174,784

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Solution

The third proportional to 112,726 and 174,784 is: 271,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,726 : 174,784 = 174,784 : x
  2. Step 2: Convert to fraction form
    112,726/174,784 = 174,784/x
  3. Step 3: Cross multiply
    112,726x = 174,784 × 174,784
  4. Step 4: Simplify right side
    112,726x = 30,549,446,656
  5. Step 5: Solve for x
    x = 30,549,446,656/112,726
  6. Step 6: Final answer
    x = 271,006.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.