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Finding the Third Proportional to 58,506 and 94,221

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Solution

The third proportional to 58,506 and 94,221 is: 151,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,506 : 94,221 = 94,221 : x
  2. Step 2: Convert to fraction form
    58,506/94,221 = 94,221/x
  3. Step 3: Cross multiply
    58,506x = 94,221 × 94,221
  4. Step 4: Simplify right side
    58,506x = 8,877,596,841
  5. Step 5: Solve for x
    x = 8,877,596,841/58,506
  6. Step 6: Final answer
    x = 151,738.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.