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Finding the Third Proportional to 58,015.50 and 123,618

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Solution

The third proportional to 58,015.50 and 123,618 is: 263,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,015.50 : 123,618 = 123,618 : x
  2. Step 2: Convert to fraction form
    58,015.50/123,618 = 123,618/x
  3. Step 3: Cross multiply
    58,015.50x = 123,618 × 123,618
  4. Step 4: Simplify right side
    58,015.50x = 15,281,409,924
  5. Step 5: Solve for x
    x = 15,281,409,924/58,015.50
  6. Step 6: Final answer
    x = 263,402.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.