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Finding the Third Proportional to 62,307 and 135,130.50

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Solution

The third proportional to 62,307 and 135,130.50 is: 293,069.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,307 : 135,130.50 = 135,130.50 : x
  2. Step 2: Convert to fraction form
    62,307/135,130.50 = 135,130.50/x
  3. Step 3: Cross multiply
    62,307x = 135,130.50 × 135,130.50
  4. Step 4: Simplify right side
    62,307x = 18,260,252,030.25
  5. Step 5: Solve for x
    x = 18,260,252,030.25/62,307
  6. Step 6: Final answer
    x = 293,069.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.