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Finding the Third Proportional to 64,411.50 and 130,641

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Solution

The third proportional to 64,411.50 and 130,641 is: 264,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,411.50 : 130,641 = 130,641 : x
  2. Step 2: Convert to fraction form
    64,411.50/130,641 = 130,641/x
  3. Step 3: Cross multiply
    64,411.50x = 130,641 × 130,641
  4. Step 4: Simplify right side
    64,411.50x = 17,067,070,881
  5. Step 5: Solve for x
    x = 17,067,070,881/64,411.50
  6. Step 6: Final answer
    x = 264,969.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.