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Finding the Third Proportional to 96,070 and 141,618

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Solution

The third proportional to 96,070 and 141,618 is: 208,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,070 : 141,618 = 141,618 : x
  2. Step 2: Convert to fraction form
    96,070/141,618 = 141,618/x
  3. Step 3: Cross multiply
    96,070x = 141,618 × 141,618
  4. Step 4: Simplify right side
    96,070x = 20,055,657,924
  5. Step 5: Solve for x
    x = 20,055,657,924/96,070
  6. Step 6: Final answer
    x = 208,760.88

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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.