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Finding the Third Proportional to 59,217 and 85,714.50

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Solution

The third proportional to 59,217 and 85,714.50 is: 124,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,217 : 85,714.50 = 85,714.50 : x
  2. Step 2: Convert to fraction form
    59,217/85,714.50 = 85,714.50/x
  3. Step 3: Cross multiply
    59,217x = 85,714.50 × 85,714.50
  4. Step 4: Simplify right side
    59,217x = 7,346,975,510.25
  5. Step 5: Solve for x
    x = 7,346,975,510.25/59,217
  6. Step 6: Final answer
    x = 124,068.69

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.