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Finding the Third Proportional to 61,618 and 97,955

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Solution

The third proportional to 61,618 and 97,955 is: 155,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,618 : 97,955 = 97,955 : x
  2. Step 2: Convert to fraction form
    61,618/97,955 = 97,955/x
  3. Step 3: Cross multiply
    61,618x = 97,955 × 97,955
  4. Step 4: Simplify right side
    61,618x = 9,595,182,025
  5. Step 5: Solve for x
    x = 9,595,182,025/61,618
  6. Step 6: Final answer
    x = 155,720.44

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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.