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Finding the Third Proportional to 64,664 and 97,572

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Solution

The third proportional to 64,664 and 97,572 is: 147,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,664 : 97,572 = 97,572 : x
  2. Step 2: Convert to fraction form
    64,664/97,572 = 97,572/x
  3. Step 3: Cross multiply
    64,664x = 97,572 × 97,572
  4. Step 4: Simplify right side
    64,664x = 9,520,295,184
  5. Step 5: Solve for x
    x = 9,520,295,184/64,664
  6. Step 6: Final answer
    x = 147,227.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.