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Finding the Third Proportional to 124,386 and 187,618

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Solution

The third proportional to 124,386 and 187,618 is: 282,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,386 : 187,618 = 187,618 : x
  2. Step 2: Convert to fraction form
    124,386/187,618 = 187,618/x
  3. Step 3: Cross multiply
    124,386x = 187,618 × 187,618
  4. Step 4: Simplify right side
    124,386x = 35,200,513,924
  5. Step 5: Solve for x
    x = 35,200,513,924/124,386
  6. Step 6: Final answer
    x = 282,994.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.