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Finding the Third Proportional to 64,046 and 94,411

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Solution

The third proportional to 64,046 and 94,411 is: 139,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,046 : 94,411 = 94,411 : x
  2. Step 2: Convert to fraction form
    64,046/94,411 = 94,411/x
  3. Step 3: Cross multiply
    64,046x = 94,411 × 94,411
  4. Step 4: Simplify right side
    64,046x = 8,913,436,921
  5. Step 5: Solve for x
    x = 8,913,436,921/64,046
  6. Step 6: Final answer
    x = 139,172.42

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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.