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Finding the Third Proportional to 64,152 and 92,400.75

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Solution

The third proportional to 64,152 and 92,400.75 is: 133,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,152 : 92,400.75 = 92,400.75 : x
  2. Step 2: Convert to fraction form
    64,152/92,400.75 = 92,400.75/x
  3. Step 3: Cross multiply
    64,152x = 92,400.75 × 92,400.75
  4. Step 4: Simplify right side
    64,152x = 8,537,898,600.56
  5. Step 5: Solve for x
    x = 8,537,898,600.56/64,152
  6. Step 6: Final answer
    x = 133,088.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.