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Finding the Third Proportional to 42,507 and 93,094.13

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Solution

The third proportional to 42,507 and 93,094.13 is: 203,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507 : 93,094.13 = 93,094.13 : x
  2. Step 2: Convert to fraction form
    42,507/93,094.13 = 93,094.13/x
  3. Step 3: Cross multiply
    42,507x = 93,094.13 × 93,094.13
  4. Step 4: Simplify right side
    42,507x = 8,666,516,109.52
  5. Step 5: Solve for x
    x = 8,666,516,109.52/42,507
  6. Step 6: Final answer
    x = 203,884.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.