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Finding the Third Proportional to 65,312 and 141,488

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Solution

The third proportional to 65,312 and 141,488 is: 306,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,312 : 141,488 = 141,488 : x
  2. Step 2: Convert to fraction form
    65,312/141,488 = 141,488/x
  3. Step 3: Cross multiply
    65,312x = 141,488 × 141,488
  4. Step 4: Simplify right side
    65,312x = 20,018,854,144
  5. Step 5: Solve for x
    x = 20,018,854,144/65,312
  6. Step 6: Final answer
    x = 306,511.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.