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Finding the Third Proportional to 64,316 and 98,917

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Solution

The third proportional to 64,316 and 98,917 is: 152,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,316 : 98,917 = 98,917 : x
  2. Step 2: Convert to fraction form
    64,316/98,917 = 98,917/x
  3. Step 3: Cross multiply
    64,316x = 98,917 × 98,917
  4. Step 4: Simplify right side
    64,316x = 9,784,572,889
  5. Step 5: Solve for x
    x = 9,784,572,889/64,316
  6. Step 6: Final answer
    x = 152,132.80

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Why These Related Problems?

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