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Finding the Third Proportional to 65,502 and 100,776

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Solution

The third proportional to 65,502 and 100,776 is: 155,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502 : 100,776 = 100,776 : x
  2. Step 2: Convert to fraction form
    65,502/100,776 = 100,776/x
  3. Step 3: Cross multiply
    65,502x = 100,776 × 100,776
  4. Step 4: Simplify right side
    65,502x = 10,155,802,176
  5. Step 5: Solve for x
    x = 10,155,802,176/65,502
  6. Step 6: Final answer
    x = 155,045.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.