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Finding the Third Proportional to 42,060 and 61,618

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Solution

The third proportional to 42,060 and 61,618 is: 90,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,060 : 61,618 = 61,618 : x
  2. Step 2: Convert to fraction form
    42,060/61,618 = 61,618/x
  3. Step 3: Cross multiply
    42,060x = 61,618 × 61,618
  4. Step 4: Simplify right side
    42,060x = 3,796,777,924
  5. Step 5: Solve for x
    x = 3,796,777,924/42,060
  6. Step 6: Final answer
    x = 90,270.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.