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Finding the Third Proportional to 62,283 and 97,888

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Solution

The third proportional to 62,283 and 97,888 is: 153,847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,283 : 97,888 = 97,888 : x
  2. Step 2: Convert to fraction form
    62,283/97,888 = 97,888/x
  3. Step 3: Cross multiply
    62,283x = 97,888 × 97,888
  4. Step 4: Simplify right side
    62,283x = 9,582,060,544
  5. Step 5: Solve for x
    x = 9,582,060,544/62,283
  6. Step 6: Final answer
    x = 153,847.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.