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Finding the Third Proportional to 56,010 and 86,724

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Solution

The third proportional to 56,010 and 86,724 is: 134,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,010 : 86,724 = 86,724 : x
  2. Step 2: Convert to fraction form
    56,010/86,724 = 86,724/x
  3. Step 3: Cross multiply
    56,010x = 86,724 × 86,724
  4. Step 4: Simplify right side
    56,010x = 7,521,052,176
  5. Step 5: Solve for x
    x = 7,521,052,176/56,010
  6. Step 6: Final answer
    x = 134,280.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.