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Finding the Third Proportional to 65,356 and 97,770

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Solution

The third proportional to 65,356 and 97,770 is: 146,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356 : 97,770 = 97,770 : x
  2. Step 2: Convert to fraction form
    65,356/97,770 = 97,770/x
  3. Step 3: Cross multiply
    65,356x = 97,770 × 97,770
  4. Step 4: Simplify right side
    65,356x = 9,558,972,900
  5. Step 5: Solve for x
    x = 9,558,972,900/65,356
  6. Step 6: Final answer
    x = 146,260.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.