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Finding the Third Proportional to 52,038 and 112,290

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Solution

The third proportional to 52,038 and 112,290 is: 242,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038 : 112,290 = 112,290 : x
  2. Step 2: Convert to fraction form
    52,038/112,290 = 112,290/x
  3. Step 3: Cross multiply
    52,038x = 112,290 × 112,290
  4. Step 4: Simplify right side
    52,038x = 12,609,044,100
  5. Step 5: Solve for x
    x = 12,609,044,100/52,038
  6. Step 6: Final answer
    x = 242,304.55

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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.