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Finding the Third Proportional to 91,152 and 142,701

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Solution

The third proportional to 91,152 and 142,701 is: 223,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,152 : 142,701 = 142,701 : x
  2. Step 2: Convert to fraction form
    91,152/142,701 = 142,701/x
  3. Step 3: Cross multiply
    91,152x = 142,701 × 142,701
  4. Step 4: Simplify right side
    91,152x = 20,363,575,401
  5. Step 5: Solve for x
    x = 20,363,575,401/91,152
  6. Step 6: Final answer
    x = 223,402.40

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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.