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Finding the Third Proportional to 53,482 and 93,841

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Solution

The third proportional to 53,482 and 93,841 is: 164,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,482 : 93,841 = 93,841 : x
  2. Step 2: Convert to fraction form
    53,482/93,841 = 93,841/x
  3. Step 3: Cross multiply
    53,482x = 93,841 × 93,841
  4. Step 4: Simplify right side
    53,482x = 8,806,133,281
  5. Step 5: Solve for x
    x = 8,806,133,281/53,482
  6. Step 6: Final answer
    x = 164,656.02

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.