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Finding the Third Proportional to 70,160 and 151,618

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Solution

The third proportional to 70,160 and 151,618 is: 327,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160 : 151,618 = 151,618 : x
  2. Step 2: Convert to fraction form
    70,160/151,618 = 151,618/x
  3. Step 3: Cross multiply
    70,160x = 151,618 × 151,618
  4. Step 4: Simplify right side
    70,160x = 22,988,017,924
  5. Step 5: Solve for x
    x = 22,988,017,924/70,160
  6. Step 6: Final answer
    x = 327,651.34

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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.