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Finding the Third Proportional to 59,457 and 87,214.50

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Solution

The third proportional to 59,457 and 87,214.50 is: 127,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,457 : 87,214.50 = 87,214.50 : x
  2. Step 2: Convert to fraction form
    59,457/87,214.50 = 87,214.50/x
  3. Step 3: Cross multiply
    59,457x = 87,214.50 × 87,214.50
  4. Step 4: Simplify right side
    59,457x = 7,606,369,010.25
  5. Step 5: Solve for x
    x = 7,606,369,010.25/59,457
  6. Step 6: Final answer
    x = 127,930.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.