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Finding the Third Proportional to 64,628 and 94,815

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Solution

The third proportional to 64,628 and 94,815 is: 139,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,628 : 94,815 = 94,815 : x
  2. Step 2: Convert to fraction form
    64,628/94,815 = 94,815/x
  3. Step 3: Cross multiply
    64,628x = 94,815 × 94,815
  4. Step 4: Simplify right side
    64,628x = 8,989,884,225
  5. Step 5: Solve for x
    x = 8,989,884,225/64,628
  6. Step 6: Final answer
    x = 139,102.00

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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.