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Finding the Third Proportional to 64,214 and 94,461

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Solution

The third proportional to 64,214 and 94,461 is: 138,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214 : 94,461 = 94,461 : x
  2. Step 2: Convert to fraction form
    64,214/94,461 = 94,461/x
  3. Step 3: Cross multiply
    64,214x = 94,461 × 94,461
  4. Step 4: Simplify right side
    64,214x = 8,922,880,521
  5. Step 5: Solve for x
    x = 8,922,880,521/64,214
  6. Step 6: Final answer
    x = 138,955.38

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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.