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Finding the Third Proportional to 39,159 and 59,658

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Solution

The third proportional to 39,159 and 59,658 is: 90,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,159 : 59,658 = 59,658 : x
  2. Step 2: Convert to fraction form
    39,159/59,658 = 59,658/x
  3. Step 3: Cross multiply
    39,159x = 59,658 × 59,658
  4. Step 4: Simplify right side
    39,159x = 3,559,076,964
  5. Step 5: Solve for x
    x = 3,559,076,964/39,159
  6. Step 6: Final answer
    x = 90,887.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.