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Finding the Third Proportional to 65,700 and 101,101.50

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Solution

The third proportional to 65,700 and 101,101.50 is: 155,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,700 : 101,101.50 = 101,101.50 : x
  2. Step 2: Convert to fraction form
    65,700/101,101.50 = 101,101.50/x
  3. Step 3: Cross multiply
    65,700x = 101,101.50 × 101,101.50
  4. Step 4: Simplify right side
    65,700x = 10,221,513,302.25
  5. Step 5: Solve for x
    x = 10,221,513,302.25/65,700
  6. Step 6: Final answer
    x = 155,578.59

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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.