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Finding the Third Proportional to 53,495 and 74,785

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Solution

The third proportional to 53,495 and 74,785 is: 104,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,495 : 74,785 = 74,785 : x
  2. Step 2: Convert to fraction form
    53,495/74,785 = 74,785/x
  3. Step 3: Cross multiply
    53,495x = 74,785 × 74,785
  4. Step 4: Simplify right side
    53,495x = 5,592,796,225
  5. Step 5: Solve for x
    x = 5,592,796,225/53,495
  6. Step 6: Final answer
    x = 104,548.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.