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Finding the Third Proportional to 45,502 and 93,252

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Solution

The third proportional to 45,502 and 93,252 is: 191,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,502 : 93,252 = 93,252 : x
  2. Step 2: Convert to fraction form
    45,502/93,252 = 93,252/x
  3. Step 3: Cross multiply
    45,502x = 93,252 × 93,252
  4. Step 4: Simplify right side
    45,502x = 8,695,935,504
  5. Step 5: Solve for x
    x = 8,695,935,504/45,502
  6. Step 6: Final answer
    x = 191,111.06

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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.