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Finding the Third Proportional to 91,070 and 142,558

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Solution

The third proportional to 91,070 and 142,558 is: 223,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,070 : 142,558 = 142,558 : x
  2. Step 2: Convert to fraction form
    91,070/142,558 = 142,558/x
  3. Step 3: Cross multiply
    91,070x = 142,558 × 142,558
  4. Step 4: Simplify right side
    91,070x = 20,322,783,364
  5. Step 5: Solve for x
    x = 20,322,783,364/91,070
  6. Step 6: Final answer
    x = 223,155.63

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Why These Related Problems?

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