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Finding the Third Proportional to 64,294 and 94,576

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Solution

The third proportional to 64,294 and 94,576 is: 139,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,294 : 94,576 = 94,576 : x
  2. Step 2: Convert to fraction form
    64,294/94,576 = 94,576/x
  3. Step 3: Cross multiply
    64,294x = 94,576 × 94,576
  4. Step 4: Simplify right side
    64,294x = 8,944,619,776
  5. Step 5: Solve for x
    x = 8,944,619,776/64,294
  6. Step 6: Final answer
    x = 139,120.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.