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Finding the Third Proportional to 64,357 and 95,590

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Solution

The third proportional to 64,357 and 95,590 is: 141,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,357 : 95,590 = 95,590 : x
  2. Step 2: Convert to fraction form
    64,357/95,590 = 95,590/x
  3. Step 3: Cross multiply
    64,357x = 95,590 × 95,590
  4. Step 4: Simplify right side
    64,357x = 9,137,448,100
  5. Step 5: Solve for x
    x = 9,137,448,100/64,357
  6. Step 6: Final answer
    x = 141,980.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.