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Finding the Third Proportional to 88,970 and 138,556

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Solution

The third proportional to 88,970 and 138,556 is: 215,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,970 : 138,556 = 138,556 : x
  2. Step 2: Convert to fraction form
    88,970/138,556 = 138,556/x
  3. Step 3: Cross multiply
    88,970x = 138,556 × 138,556
  4. Step 4: Simplify right side
    88,970x = 19,197,765,136
  5. Step 5: Solve for x
    x = 19,197,765,136/88,970
  6. Step 6: Final answer
    x = 215,777.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.