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Finding the Third Proportional to 65,854 and 94,106

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Solution

The third proportional to 65,854 and 94,106 is: 134,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,854 : 94,106 = 94,106 : x
  2. Step 2: Convert to fraction form
    65,854/94,106 = 94,106/x
  3. Step 3: Cross multiply
    65,854x = 94,106 × 94,106
  4. Step 4: Simplify right side
    65,854x = 8,855,939,236
  5. Step 5: Solve for x
    x = 8,855,939,236/65,854
  6. Step 6: Final answer
    x = 134,478.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.