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Finding the Third Proportional to 64,546 and 97,790

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Solution

The third proportional to 64,546 and 97,790 is: 148,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,546 : 97,790 = 97,790 : x
  2. Step 2: Convert to fraction form
    64,546/97,790 = 97,790/x
  3. Step 3: Cross multiply
    64,546x = 97,790 × 97,790
  4. Step 4: Simplify right side
    64,546x = 9,562,884,100
  5. Step 5: Solve for x
    x = 9,562,884,100/64,546
  6. Step 6: Final answer
    x = 148,156.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.