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Finding the Third Proportional to 77,492.63 and 164,284.88

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Solution

The third proportional to 77,492.63 and 164,284.88 is: 348,285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,492.63 : 164,284.88 = 164,284.88 : x
  2. Step 2: Convert to fraction form
    77,492.63/164,284.88 = 164,284.88/x
  3. Step 3: Cross multiply
    77,492.63x = 164,284.88 × 164,284.88
  4. Step 4: Simplify right side
    77,492.63x = 26,989,520,153.77
  5. Step 5: Solve for x
    x = 26,989,520,153.77/77,492.63
  6. Step 6: Final answer
    x = 348,285.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.