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Finding the Third Proportional to 94,799 and 133,341.50

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Solution

The third proportional to 94,799 and 133,341.50 is: 187,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,799 : 133,341.50 = 133,341.50 : x
  2. Step 2: Convert to fraction form
    94,799/133,341.50 = 133,341.50/x
  3. Step 3: Cross multiply
    94,799x = 133,341.50 × 133,341.50
  4. Step 4: Simplify right side
    94,799x = 17,779,955,622.25
  5. Step 5: Solve for x
    x = 17,779,955,622.25/94,799
  6. Step 6: Final answer
    x = 187,554.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.