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Finding the Third Proportional to 91,026 and 142,484

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Solution

The third proportional to 91,026 and 142,484 is: 223,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,026 : 142,484 = 142,484 : x
  2. Step 2: Convert to fraction form
    91,026/142,484 = 142,484/x
  3. Step 3: Cross multiply
    91,026x = 142,484 × 142,484
  4. Step 4: Simplify right side
    91,026x = 20,301,690,256
  5. Step 5: Solve for x
    x = 20,301,690,256/91,026
  6. Step 6: Final answer
    x = 223,031.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.