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Finding the Third Proportional to 64,664 and 94,484

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Solution

The third proportional to 64,664 and 94,484 is: 138,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,664 : 94,484 = 94,484 : x
  2. Step 2: Convert to fraction form
    64,664/94,484 = 94,484/x
  3. Step 3: Cross multiply
    64,664x = 94,484 × 94,484
  4. Step 4: Simplify right side
    64,664x = 8,927,226,256
  5. Step 5: Solve for x
    x = 8,927,226,256/64,664
  6. Step 6: Final answer
    x = 138,055.58

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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.