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Finding the Third Proportional to 107,640 and 235,248

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Solution

The third proportional to 107,640 and 235,248 is: 514,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640 : 235,248 = 235,248 : x
  2. Step 2: Convert to fraction form
    107,640/235,248 = 235,248/x
  3. Step 3: Cross multiply
    107,640x = 235,248 × 235,248
  4. Step 4: Simplify right side
    107,640x = 55,341,621,504
  5. Step 5: Solve for x
    x = 55,341,621,504/107,640
  6. Step 6: Final answer
    x = 514,136.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.