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Finding the Third Proportional to 51,003 and 97,503.75

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Solution

The third proportional to 51,003 and 97,503.75 is: 186,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003 : 97,503.75 = 97,503.75 : x
  2. Step 2: Convert to fraction form
    51,003/97,503.75 = 97,503.75/x
  3. Step 3: Cross multiply
    51,003x = 97,503.75 × 97,503.75
  4. Step 4: Simplify right side
    51,003x = 9,506,981,264.06
  5. Step 5: Solve for x
    x = 9,506,981,264.06/51,003
  6. Step 6: Final answer
    x = 186,400.43

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.