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Finding the Third Proportional to 52,160.52 and 112,419.77

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Solution

The third proportional to 52,160.52 and 112,419.77 is: 242,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160.52 : 112,419.77 = 112,419.77 : x
  2. Step 2: Convert to fraction form
    52,160.52/112,419.77 = 112,419.77/x
  3. Step 3: Cross multiply
    52,160.52x = 112,419.77 × 112,419.77
  4. Step 4: Simplify right side
    52,160.52x = 12,638,205,459.74
  5. Step 5: Solve for x
    x = 12,638,205,459.74/52,160.52
  6. Step 6: Final answer
    x = 242,294.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.