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Finding the Third Proportional to 53,623 and 84,979.50

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Solution

The third proportional to 53,623 and 84,979.50 is: 134,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,623 : 84,979.50 = 84,979.50 : x
  2. Step 2: Convert to fraction form
    53,623/84,979.50 = 84,979.50/x
  3. Step 3: Cross multiply
    53,623x = 84,979.50 × 84,979.50
  4. Step 4: Simplify right side
    53,623x = 7,221,515,420.25
  5. Step 5: Solve for x
    x = 7,221,515,420.25/53,623
  6. Step 6: Final answer
    x = 134,671.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.