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Finding the Third Proportional to 61,496 and 97,888

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Solution

The third proportional to 61,496 and 97,888 is: 155,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,496 : 97,888 = 97,888 : x
  2. Step 2: Convert to fraction form
    61,496/97,888 = 97,888/x
  3. Step 3: Cross multiply
    61,496x = 97,888 × 97,888
  4. Step 4: Simplify right side
    61,496x = 9,582,060,544
  5. Step 5: Solve for x
    x = 9,582,060,544/61,496
  6. Step 6: Final answer
    x = 155,816.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.