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Finding the Third Proportional to 52,475 and 112,726

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Solution

The third proportional to 52,475 and 112,726 is: 242,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475 : 112,726 = 112,726 : x
  2. Step 2: Convert to fraction form
    52,475/112,726 = 112,726/x
  3. Step 3: Cross multiply
    52,475x = 112,726 × 112,726
  4. Step 4: Simplify right side
    52,475x = 12,707,151,076
  5. Step 5: Solve for x
    x = 12,707,151,076/52,475
  6. Step 6: Final answer
    x = 242,156.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.