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Finding the Third Proportional to 63,312 and 133,776

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Solution

The third proportional to 63,312 and 133,776 is: 282,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,312 : 133,776 = 133,776 : x
  2. Step 2: Convert to fraction form
    63,312/133,776 = 133,776/x
  3. Step 3: Cross multiply
    63,312x = 133,776 × 133,776
  4. Step 4: Simplify right side
    63,312x = 17,896,018,176
  5. Step 5: Solve for x
    x = 17,896,018,176/63,312
  6. Step 6: Final answer
    x = 282,663.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.