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Finding the Third Proportional to 60,316 and 130,808

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Solution

The third proportional to 60,316 and 130,808 is: 283,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,316 : 130,808 = 130,808 : x
  2. Step 2: Convert to fraction form
    60,316/130,808 = 130,808/x
  3. Step 3: Cross multiply
    60,316x = 130,808 × 130,808
  4. Step 4: Simplify right side
    60,316x = 17,110,732,864
  5. Step 5: Solve for x
    x = 17,110,732,864/60,316
  6. Step 6: Final answer
    x = 283,684.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.