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Finding the Third Proportional to 64,047 and 94,413

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Solution

The third proportional to 64,047 and 94,413 is: 139,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,047 : 94,413 = 94,413 : x
  2. Step 2: Convert to fraction form
    64,047/94,413 = 94,413/x
  3. Step 3: Cross multiply
    64,047x = 94,413 × 94,413
  4. Step 4: Simplify right side
    64,047x = 8,913,814,569
  5. Step 5: Solve for x
    x = 8,913,814,569/64,047
  6. Step 6: Final answer
    x = 139,176.15

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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.