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Finding the Third Proportional to 61,485 and 94,641

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Solution

The third proportional to 61,485 and 94,641 is: 145,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,485 : 94,641 = 94,641 : x
  2. Step 2: Convert to fraction form
    61,485/94,641 = 94,641/x
  3. Step 3: Cross multiply
    61,485x = 94,641 × 94,641
  4. Step 4: Simplify right side
    61,485x = 8,956,918,881
  5. Step 5: Solve for x
    x = 8,956,918,881/61,485
  6. Step 6: Final answer
    x = 145,676.49

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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.