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Finding the Third Proportional to 45,140 and 93,355

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Solution

The third proportional to 45,140 and 93,355 is: 193,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,140 : 93,355 = 93,355 : x
  2. Step 2: Convert to fraction form
    45,140/93,355 = 93,355/x
  3. Step 3: Cross multiply
    45,140x = 93,355 × 93,355
  4. Step 4: Simplify right side
    45,140x = 8,715,156,025
  5. Step 5: Solve for x
    x = 8,715,156,025/45,140
  6. Step 6: Final answer
    x = 193,069.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.