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Finding the Third Proportional to 84,312 and 112,776

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Solution

The third proportional to 84,312 and 112,776 is: 150,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312 : 112,776 = 112,776 : x
  2. Step 2: Convert to fraction form
    84,312/112,776 = 112,776/x
  3. Step 3: Cross multiply
    84,312x = 112,776 × 112,776
  4. Step 4: Simplify right side
    84,312x = 12,718,426,176
  5. Step 5: Solve for x
    x = 12,718,426,176/84,312
  6. Step 6: Final answer
    x = 150,849.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.