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Finding the Third Proportional to 131,144.63 and 202,528.50

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Solution

The third proportional to 131,144.63 and 202,528.50 is: 312,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,144.63 : 202,528.50 = 202,528.50 : x
  2. Step 2: Convert to fraction form
    131,144.63/202,528.50 = 202,528.50/x
  3. Step 3: Cross multiply
    131,144.63x = 202,528.50 × 202,528.50
  4. Step 4: Simplify right side
    131,144.63x = 41,017,793,312.25
  5. Step 5: Solve for x
    x = 41,017,793,312.25/131,144.63
  6. Step 6: Final answer
    x = 312,767.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.