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Finding the Third Proportional to 64,594 and 94,334

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Solution

The third proportional to 64,594 and 94,334 is: 137,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,594 : 94,334 = 94,334 : x
  2. Step 2: Convert to fraction form
    64,594/94,334 = 94,334/x
  3. Step 3: Cross multiply
    64,594x = 94,334 × 94,334
  4. Step 4: Simplify right side
    64,594x = 8,898,903,556
  5. Step 5: Solve for x
    x = 8,898,903,556/64,594
  6. Step 6: Final answer
    x = 137,766.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.