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Finding the Third Proportional to 98,769 and 141,138.50

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Solution

The third proportional to 98,769 and 141,138.50 is: 201,683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,769 : 141,138.50 = 141,138.50 : x
  2. Step 2: Convert to fraction form
    98,769/141,138.50 = 141,138.50/x
  3. Step 3: Cross multiply
    98,769x = 141,138.50 × 141,138.50
  4. Step 4: Simplify right side
    98,769x = 19,920,076,182.25
  5. Step 5: Solve for x
    x = 19,920,076,182.25/98,769
  6. Step 6: Final answer
    x = 201,683.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.