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Finding the Third Proportional to 45,452 and 93,159.50

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Solution

The third proportional to 45,452 and 93,159.50 is: 190,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,452 : 93,159.50 = 93,159.50 : x
  2. Step 2: Convert to fraction form
    45,452/93,159.50 = 93,159.50/x
  3. Step 3: Cross multiply
    45,452x = 93,159.50 × 93,159.50
  4. Step 4: Simplify right side
    45,452x = 8,678,692,440.25
  5. Step 5: Solve for x
    x = 8,678,692,440.25/45,452
  6. Step 6: Final answer
    x = 190,941.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.