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Finding the Third Proportional to 52,820 and 114,748

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Solution

The third proportional to 52,820 and 114,748 is: 249,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,820 : 114,748 = 114,748 : x
  2. Step 2: Convert to fraction form
    52,820/114,748 = 114,748/x
  3. Step 3: Cross multiply
    52,820x = 114,748 × 114,748
  4. Step 4: Simplify right side
    52,820x = 13,167,103,504
  5. Step 5: Solve for x
    x = 13,167,103,504/52,820
  6. Step 6: Final answer
    x = 249,282.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.