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Finding the Third Proportional to 64,056 and 94,428

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Solution

The third proportional to 64,056 and 94,428 is: 139,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,056 : 94,428 = 94,428 : x
  2. Step 2: Convert to fraction form
    64,056/94,428 = 94,428/x
  3. Step 3: Cross multiply
    64,056x = 94,428 × 94,428
  4. Step 4: Simplify right side
    64,056x = 8,916,647,184
  5. Step 5: Solve for x
    x = 8,916,647,184/64,056
  6. Step 6: Final answer
    x = 139,200.81

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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.