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Finding the Third Proportional to 64,572 and 97,230

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Solution

The third proportional to 64,572 and 97,230 is: 146,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,572 : 97,230 = 97,230 : x
  2. Step 2: Convert to fraction form
    64,572/97,230 = 97,230/x
  3. Step 3: Cross multiply
    64,572x = 97,230 × 97,230
  4. Step 4: Simplify right side
    64,572x = 9,453,672,900
  5. Step 5: Solve for x
    x = 9,453,672,900/64,572
  6. Step 6: Final answer
    x = 146,405.14

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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.