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Finding the Third Proportional to 58,312 and 91,673

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Solution

The third proportional to 58,312 and 91,673 is: 144,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,312 : 91,673 = 91,673 : x
  2. Step 2: Convert to fraction form
    58,312/91,673 = 91,673/x
  3. Step 3: Cross multiply
    58,312x = 91,673 × 91,673
  4. Step 4: Simplify right side
    58,312x = 8,403,938,929
  5. Step 5: Solve for x
    x = 8,403,938,929/58,312
  6. Step 6: Final answer
    x = 144,120.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.