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Finding the Third Proportional to 52,152 and 70,856

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Solution

The third proportional to 52,152 and 70,856 is: 96,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152 : 70,856 = 70,856 : x
  2. Step 2: Convert to fraction form
    52,152/70,856 = 70,856/x
  3. Step 3: Cross multiply
    52,152x = 70,856 × 70,856
  4. Step 4: Simplify right side
    52,152x = 5,020,572,736
  5. Step 5: Solve for x
    x = 5,020,572,736/52,152
  6. Step 6: Final answer
    x = 96,268.08

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.