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Finding the Third Proportional to 32,312 and 68,460

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Solution

The third proportional to 32,312 and 68,460 is: 145,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312 : 68,460 = 68,460 : x
  2. Step 2: Convert to fraction form
    32,312/68,460 = 68,460/x
  3. Step 3: Cross multiply
    32,312x = 68,460 × 68,460
  4. Step 4: Simplify right side
    32,312x = 4,686,771,600
  5. Step 5: Solve for x
    x = 4,686,771,600/32,312
  6. Step 6: Final answer
    x = 145,047.40

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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.