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Finding the Third Proportional to 103,578.75 and 152,087.63

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Solution

The third proportional to 103,578.75 and 152,087.63 is: 223,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,578.75 : 152,087.63 = 152,087.63 : x
  2. Step 2: Convert to fraction form
    103,578.75/152,087.63 = 152,087.63/x
  3. Step 3: Cross multiply
    103,578.75x = 152,087.63 × 152,087.63
  4. Step 4: Simplify right side
    103,578.75x = 23,130,645,678.14
  5. Step 5: Solve for x
    x = 23,130,645,678.14/103,578.75
  6. Step 6: Final answer
    x = 223,314.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.