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Finding the Third Proportional to 64,537 and 94,906

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Solution

The third proportional to 64,537 and 94,906 is: 139,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,537 : 94,906 = 94,906 : x
  2. Step 2: Convert to fraction form
    64,537/94,906 = 94,906/x
  3. Step 3: Cross multiply
    64,537x = 94,906 × 94,906
  4. Step 4: Simplify right side
    64,537x = 9,007,148,836
  5. Step 5: Solve for x
    x = 9,007,148,836/64,537
  6. Step 6: Final answer
    x = 139,565.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.