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Finding the Third Proportional to 93,618 and 141,435

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Solution

The third proportional to 93,618 and 141,435 is: 213,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,618 : 141,435 = 141,435 : x
  2. Step 2: Convert to fraction form
    93,618/141,435 = 141,435/x
  3. Step 3: Cross multiply
    93,618x = 141,435 × 141,435
  4. Step 4: Simplify right side
    93,618x = 20,003,859,225
  5. Step 5: Solve for x
    x = 20,003,859,225/93,618
  6. Step 6: Final answer
    x = 213,675.35

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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.