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Finding the Third Proportional to 115,136 and 247,767.50

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Solution

The third proportional to 115,136 and 247,767.50 is: 533,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,136 : 247,767.50 = 247,767.50 : x
  2. Step 2: Convert to fraction form
    115,136/247,767.50 = 247,767.50/x
  3. Step 3: Cross multiply
    115,136x = 247,767.50 × 247,767.50
  4. Step 4: Simplify right side
    115,136x = 61,388,734,056.25
  5. Step 5: Solve for x
    x = 61,388,734,056.25/115,136
  6. Step 6: Final answer
    x = 533,184.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.