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Finding the Third Proportional to 52,714 and 84,311.50

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Solution

The third proportional to 52,714 and 84,311.50 is: 134,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714 : 84,311.50 = 84,311.50 : x
  2. Step 2: Convert to fraction form
    52,714/84,311.50 = 84,311.50/x
  3. Step 3: Cross multiply
    52,714x = 84,311.50 × 84,311.50
  4. Step 4: Simplify right side
    52,714x = 7,108,429,032.25
  5. Step 5: Solve for x
    x = 7,108,429,032.25/52,714
  6. Step 6: Final answer
    x = 134,848.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.