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Finding the Third Proportional to 52,972.50 and 113,613

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Solution

The third proportional to 52,972.50 and 113,613 is: 243,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,972.50 : 113,613 = 113,613 : x
  2. Step 2: Convert to fraction form
    52,972.50/113,613 = 113,613/x
  3. Step 3: Cross multiply
    52,972.50x = 113,613 × 113,613
  4. Step 4: Simplify right side
    52,972.50x = 12,907,913,769
  5. Step 5: Solve for x
    x = 12,907,913,769/52,972.50
  6. Step 6: Final answer
    x = 243,671.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.