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Finding the Third Proportional to 45,455 and 93,113

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Solution

The third proportional to 45,455 and 93,113 is: 190,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,455 : 93,113 = 93,113 : x
  2. Step 2: Convert to fraction form
    45,455/93,113 = 93,113/x
  3. Step 3: Cross multiply
    45,455x = 93,113 × 93,113
  4. Step 4: Simplify right side
    45,455x = 8,670,030,769
  5. Step 5: Solve for x
    x = 8,670,030,769/45,455
  6. Step 6: Final answer
    x = 190,738.77

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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.