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Finding the Third Proportional to 59,428 and 78,886

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Solution

The third proportional to 59,428 and 78,886 is: 104,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,428 : 78,886 = 78,886 : x
  2. Step 2: Convert to fraction form
    59,428/78,886 = 78,886/x
  3. Step 3: Cross multiply
    59,428x = 78,886 × 78,886
  4. Step 4: Simplify right side
    59,428x = 6,223,000,996
  5. Step 5: Solve for x
    x = 6,223,000,996/59,428
  6. Step 6: Final answer
    x = 104,714.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.