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Finding the Third Proportional to 70,501 and 152,618

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Solution

The third proportional to 70,501 and 152,618 is: 330,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,501 : 152,618 = 152,618 : x
  2. Step 2: Convert to fraction form
    70,501/152,618 = 152,618/x
  3. Step 3: Cross multiply
    70,501x = 152,618 × 152,618
  4. Step 4: Simplify right side
    70,501x = 23,292,253,924
  5. Step 5: Solve for x
    x = 23,292,253,924/70,501
  6. Step 6: Final answer
    x = 330,381.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.