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Finding the Third Proportional to 60,402 and 79,864.50

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Solution

The third proportional to 60,402 and 79,864.50 is: 105,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,402 : 79,864.50 = 79,864.50 : x
  2. Step 2: Convert to fraction form
    60,402/79,864.50 = 79,864.50/x
  3. Step 3: Cross multiply
    60,402x = 79,864.50 × 79,864.50
  4. Step 4: Simplify right side
    60,402x = 6,378,338,360.25
  5. Step 5: Solve for x
    x = 6,378,338,360.25/60,402
  6. Step 6: Final answer
    x = 105,598.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.